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 3 years ago
Cannot figure out how to set this problem up
Find the average rate of change
f(x)=x^3+1
intervals given [2,3]
book says the answer is 19, how do they get that?
no matter what I do Im not getting the correct answer.
 3 years ago
Cannot figure out how to set this problem up Find the average rate of change f(x)=x^3+1 intervals given [2,3] book says the answer is 19, how do they get that? no matter what I do Im not getting the correct answer.

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MrYantho
 3 years ago
Best ResponseYou've already chosen the best response.1\[f(x2)f(x1)/x2x1\] \[f(3)f(2)/32\] \[((3)^{3}+1)((2)^{3}+1)/1\] \[(27+1)(8+1)\] \[289\] \[19\]

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0we want to find the average rate of change find f'(x)= 3x^2 (df/dx gives the change in f(x) at every instant) now take integral between the limits 2 to 3 Average rate of change= \[1/(32) \int\limits_{2}^{3} 3x^2 dx\] \[= 1/1 * [ x^3] \] from 3 to 2 278=19

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.0we know that average of a function f(x) in the interval [ a,b] is given by \[1/(ba) \int\limits_{a}^{b} f(x) dx\]

catwigley81
 3 years ago
Best ResponseYou've already chosen the best response.1Thank you both! Got it!
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